1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Wittaler [7]
1 year ago
10

Find the value or measure. Assume all lines that appear to be tangent are tangent. X=

Mathematics
1 answer:
aev [14]1 year ago
7 0

According to the secant-tangent theorem, we have the following expression:

(x+3)^2=10.8(19.2+10.8)

Now, we solve for <em>x</em>.

\begin{gathered} x^2+6x+9=10.8(30) \\ x^2+6x+9=324 \\ x^2+6x+9-324=0 \\ x^2+6x-315=0 \end{gathered}

Then, we use the quadratic formula:

x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Where a = 1, b = 6, and c = -315.

\begin{gathered} x_{1,2}=\frac{-6\pm\sqrt[]{6^2-4\cdot1\cdot(-315)}}{2\cdot1} \\ x_{1,2}=\frac{-6\pm\sqrt[]{36+1260}}{2}=\frac{-6\pm\sqrt[]{1296}}{2} \\ x_{1,2}=\frac{-6\pm36}{2} \\ x_1=\frac{-6+36}{2}=\frac{30}{2}=15 \\ x_2=\frac{-6-36}{2}=\frac{-42}{2}=-21 \end{gathered}<h2>Hence, the answer is 15 because lengths can't be negative.</h2>
You might be interested in
Helpppppppp meee <br> twentycharacters
vitfil [10]

Answer:

The answer is A

5 0
3 years ago
Answer ASAP!.......... I need help on 34 more questions.
lianna [129]

19

Step-by-step explanation:

Because when you and you need don't forget that when you

4 0
2 years ago
CAN somebody plz plz help me with raios
Kaylis [27]
I can help what are the problems
5 0
3 years ago
HELPP DONT SEND A FILE WHATS the answer
stepan [7]

Answer:

578.3 ft²

Step-by-step explanation:

slope lengths are

L = √(11² + (13/2)²) = √163.25

A = (13 + 2√163.25)(15) = 578.307970...

5 0
3 years ago
One more question<br> (-8)+___=-17
seropon [69]

Answer:

-9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the
    8·1 answer
  • Students hike 16,900 feet one morning and 14,850 feet in the afternoon. Estimate the total number of miles they hiked that day.
    9·2 answers
  • Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the are
    10·2 answers
  • .
    8·1 answer
  • The best fitting straight line for a data set of X-values plotted against y-values is
    14·1 answer
  • Factor the algebraic expression <br> 16a + 10
    10·2 answers
  • Based on the graph below, determine the zeros of the functon
    10·1 answer
  • Dustin Ambrose is married and claims 3 allowances. His gross weekly pay is $628.00. Each week he pays federal, Social Security,
    7·1 answer
  • 6a-1÷7=4. . . . . . . . . . .. . . ​
    13·1 answer
  • Write an equation that expresses the relationship. Use k as the constant of variation.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!